Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
Answer:
3.514 degrees per hour
Step-by-step explanation:
To find change per hour, you find the slope, which is change in output (temperature) over change in input (hours)
y2-y1 / x2-x1
-12.3 - 0 / 3.5
3.514 degrees per hour
The second option i believe is correct
Answer:
Step-by-step explanation:
Given that a rock is thrown vertically upward from the surface of an airless planet. It reaches a height of 
where t is expressed in seconds
The rock goes upto a height where the velocity becomes 0 and then it starts falling down by gravity
Velocity at time t = s'(t) = 
This becomes 0 when t =15 seconds
Hence at 15th second the rock starts falling and upto
s(15) = 
metres high it goes
The time taken to reach highest point is = 15 seconds.
